document.write( "Question 1151828: A movie theater charges $5 for an adult ticket and $2 for a child's ticket.one day the the theater sold 785 tickets for $3280.how msny of each type of ticket were sold?
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Algebra.Com's Answer #773701 by ankor@dixie-net.com(22740)\"\" \"About 
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A movie theater charges $5 for an adult ticket and $2 for a child's ticket.
\n" ); document.write( "one day the the theater sold 785 tickets for $3280.
\n" ); document.write( "how many of each type of ticket were sold?
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\n" ); document.write( "Let a = no. of adult tickets
\n" ); document.write( "let c = no. of children's tickets
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\n" ); document.write( "no. of tickets sold equation
\n" ); document.write( "a + c = 785
\n" ); document.write( "total revenue equation
\n" ); document.write( "5a + 2c = 3280
\n" ); document.write( "use elimination here, multiply the 1st equation by 2, subtract from the 2nd equation
\n" ); document.write( "5a + 2c = 3280
\n" ); document.write( "2a + 2c = 1570
\n" ); document.write( "-------------- subtraction eliminates c, find a
\n" ); document.write( "3a + 0 = 1710
\n" ); document.write( "a = 1710/3
\n" ); document.write( "a = 570 adults
\n" ); document.write( "and
\n" ); document.write( "785 - 570 = 215 children
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\n" ); document.write( "Check solutions using the revenue equation
\n" ); document.write( "5(570) + 2(215) =
\n" ); document.write( "2850 + 430 = 3280
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